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Finding the Fourth Proportional to 2,184.33, 3,276.41 and 540.84

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Solution

The fourth proportional to 2,184.33, 3,276.41 and 540.84 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.33 : 3,276.41 = 540.84 : x
  2. Step 2: Convert to fraction form
    2,184.33/3,276.41 = 540.84/x
  3. Step 3: Cross multiply
    2,184.33x = 3,276.41 × 540.84
  4. Step 4: Simplify right side
    2,184.33x = 1,771,994.50
  5. Step 5: Solve for x
    x = 1,771,994.50/2,184.33
  6. Step 6: Final answer
    x = 811.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.